Solved by verified expert:Two questions. Question 1 has to do with Polar Coordinates and question 2 has to do with polar graphs.
calculus_unit_7_applies.docx
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Question #1: Polar Coordinates
1. Write a short paragraph explaining the differences between the rectangular coordinate system and the
polar coordinate system.
2. In the rectangular coordinate system, each point (x, y) has a unique representation. Explain why this is
not true for a point (r, Θ) in the polar coordinate system.
Question #2 Polar Graphs
1. Use a graphing utility to graph the polar equation shown below.
r = cos 5Θ + n cos Θ, 0 ≤ Θ ≤ π
For the integers n = -5 to n = 5. As you graph these equations, you should see the graph change shape
from a heart to a bell. Write a short paragraph explaining which values of n produce the heart-shaped
curves and which values of n produce the bell-shaped curves.
2. In your own words, define the term eccentricity and explain how it can be used to classify conics.
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